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Linear Pair Axiom

If ∠ a and ∠ ...

Question

If $∠ a$ and $∠ b$ form a linear pair, how is $∠ a$ related to $∠ b ?$

A

∠ a = 90 ° - ∠ b

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B

∠ a = 180 ° - ∠ b

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C

∠ a = 90 ° + ∠ b

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D

∠ a = 180 ° + ∠ b

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Solution

The correct option is B $∠ a = 180 ° - ∠ b$

Since, $∠ a$ and $∠ b$ form a linear pair,
$∠ a + ∠ b = 180 ° \Rightarrow ∠ a = 180 ° - ∠ b$

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